具有极端总 Betti 数和总双graded Betti 数的单纯形复合体
组合数学
2024-07-30 v1 代数拓扑
摘要
我们确定具有给定每个维度顶点数目时，单纯形复合体中具有最大或最小 Betti 数之和以及双graded Betti 数之和的复合体。
引用
@article{arxiv.2407.19423,
title = {On Simplicial Complexes with Extremal Total Betti number and Total Bigraded Betti Number},
author = {Pimeng Dai and Li Yu},
journal= {arXiv preprint arXiv:2407.19423},
year = {2024}
}
备注
22 pages, 1 figure